# On F-implicit Minimal Vector Variational Inequalities

### Abstract

In this paper, by introducing some new concepts in minimal spaces, we prove a generalized form of the Fan-KKM theorem in minimal vector spaces. A new class of minimal generalized vector F-implicit variational inequality problems and, as an application of Fan-KKM theorem is investigated. Moreover, an existence theorem for this kind of problems under some suitable assumptions in minimal vector spaces is given.### References

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*Statistics, Optimization & Information Computing*,

*10*(2), 401-409. https://doi.org/10.19139/soic-2310-5070-434

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